Alternating quiver Hecke algebras
Representation Theory
2015-04-22 v1
Abstract
For simply-laced quivers, we consider the fixed-point subalgebra of the quiver Hecke algebra under the homogeneous sign map. This leads to a new family of algebras we call alternating quiver Hecke algebras. We give a basis theorem and a presentation by generators and relations which is strikingly similar to the KLR presentation for quiver Hecke algebras.
Cite
@article{arxiv.1504.05532,
title = {Alternating quiver Hecke algebras},
author = {Clinton Boys},
journal= {arXiv preprint arXiv:1504.05532},
year = {2015}
}
Comments
15 pages